Finding the Third Proportional to 940 and 1,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   940 : 1,423.50 = 1,423.50 : x
2. Step 2: Convert to fraction form
   940/1,423.50 = 1,423.50/x
3. Step 3: Cross multiply
   940x = 1,423.50 × 1,423.50
4. Step 4: Simplify right side
   940x = 2,026,352.25
5. Step 5: Solve for x
   x = 2,026,352.25/940
6. Step 6: Final answer
   x = 2,155.69